Is there a really fat sounding Jazz type pickup?

I have some Dimarzio Ultra Jazz pickups in my bass. While goofing around with those Franken basses (headless with headstocks,) I decided to A/B with against my personal bass.
The goofy basses actually have a thicker tone and a more even string response. They lack some mids, but after the comparison, I was disappointed with the Dimarzios. I want a thick tone for my Jazz!

I have UltraJazzes, and I have to say in my bass (SX Jazz w/Badass bridge and flatwounds) they sound HUGE. Generally the UltraJazzes are considered some of the fatter-sounding jazz pups, so I'd be inclined to wonder if there isn't some other problem (strings, setup, pickup height, phase problems).

I use Rotosound Swingbass strings. The others-who knows what they have. Pickup height on the J is "medium."

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FWIW:

Assuming that you're talking about tones played to the music you play (pretty solo tones rarely work well to music) and that your other basses have J pups, I'd swap the pups out between the basses and see what you think - since you already have them and a swap's not a major ordeal. You're probably not going to be satisfied after this awareness and you could really go into some lengthy grief pup searching when you may already have what you want.

Among, other things, it could be the pups in the other basses are just more suited to those basses and the Ultra's are a mismatched for the bass they're in. Not to mention you can find out a whole array of things I won't go into by doing such a swap.

The same set of pups can be very ordinary in one bass but quite exceptional in another.

Got my Standard Jazz V onn Monday, and did the mod today...I like the big growly sound. The best thing though is having the trad. jazz sounds and then adding this mod (push-pull). The bass looks the same, but has an extra gear.